Standard #: MAFS.912.N-CN.1.2 (Archived Standard)


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Use the relation i² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.


General Information

Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Number & Quantity: The Complex Number System
Cluster: Perform arithmetic operations with complex numbers. (Algebra 2 - Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived

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Related Resources

Tutorials

Name Description
Multiplying Complex Numbers

This video demonstrates how to multiply complex numbers using distributive property and FOIL method.

How to Subtract Complex Numbers

This video will demonstrate how to subtract complex numbers.

Adding Complex Numbers

This video will demonstrate how to add complex numbers.

Video/Audio/Animation

Name Description
MIT BLOSSOMS - Fabulous Fractals and Difference Equations

This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of difference equations.

Student Resources

Tutorials

Name Description
Multiplying Complex Numbers:

This video demonstrates how to multiply complex numbers using distributive property and FOIL method.

How to Subtract Complex Numbers:

This video will demonstrate how to subtract complex numbers.

Adding Complex Numbers:

This video will demonstrate how to add complex numbers.

Video/Audio/Animation

Name Description
MIT BLOSSOMS - Fabulous Fractals and Difference Equations :

This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of difference equations.



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